41 results in Graphing and Polynomials - search across all projects.

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Given the graph of the line determine the equation of the line.

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Recognising the equation of a circle.

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Recognising that $(x-a)^2+(y-b)^2=r^2$ is a circle of radius $r$ with centre $(a,b)$

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Graphing $y=ab^x+c$

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Graphing $y=ab^{\pm x+d}+c$

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Recognising the equation of a semi-circle centred at the origin. Top, bottom, left and right.

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Graphing exponentials with a base between 0 and 1 and no transformations take place.

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The easiest type of exponential to graph where the base is greater than 1 and no transformations take place.

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Equating coefficients of a polynomial. Basic ones that don't require simultaneous equations.

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Dividing a cubic polynomial by a linear polynomial. Find quotient and remainder.

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Identifying some of the basic properties (intercepts, asymptotes, quadrants) of a rational function (quadratic over linear)

• The Factor Theorem
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Identifying some of the basic properties (intercepts, asymptotes, quadrants) of a right hyperbola except this time the equation will be written like y=(ax+b)/(cx+d)

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Identifying some of the basic properties (intercepts, asymptotes, quadrants) of a right hyperbola.

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Graphing $y=a\log_{b}(\pm x+d)+c$

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The easiest type of exponential to graph where the base is greater than 1 and no transformations take place.

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Graphing $y=a\log_{b}(x)+c$

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Completing the square twice to determine the radius and centre of a circle.

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Find the $x$ and $y$ intercepts of a circle.

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• The Remainder Theorem
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Understanding the general facts about polynomials of degree n.

• Graphing: quartic
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• Graphing: cubic
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• Graphing: linear
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Identifying y=mx+b given two points

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Identifying gradient and $y$-intercept from $y=mx+b$.